Mathc matrices/052

Application

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	c00a.c

/* ------------------------------------ */
/*  Save as :   c00a.c                  */
/* ------------------------------------ */
#include "v_a.h"
/* ------------------------------------ */
#define   RCA    RC3
/* ------------------------------------ */
#define    EV    R1  
/* ------------------------------------ */
int main(void)
{
double a[RCA*RCA]={
+0.944444444444, -0.144444444444, +0.177777777778, 
-0.144444444444, +0.624444444444, +0.462222222222, 
+0.177777777778, +0.462222222222, +0.431111111111                   
};

double evalue[RCA*C1]={
+1,  
+1,
+0  
};

double **A        = ca_A_mR(a,      i_mR(RCA,RCA));
double **EValue   = ca_A_mR(evalue, i_mR(RCA,C1));

double **Ide      =  eye_mR(   i_mR(RCA,RCA));
double **sIde     =            i_mR(RCA,RCA);
double **AmnssIde =            i_mR(RCA,RCA);

double **Ab       =            i_Abr_Ac_bc_mR(RCA,RCA,C1);
double **b        =            i_mR(RCA,C1);
double **Ab_free  =            i_Abr_Ac_bc_mR(RCA,RCA,RCA);
double **b_free   =            i_mR(RCA,RCA);

double **V        =            i_mR(RCA,RCA);

  clrscrn();
  printf(" A :");
  p_mR(A,S10,P5,C10);
  
         smul_mR(EValue[EV][C1],Ide,sIde);          
          sub_mR(A,sIde,AmnssIde);
        
     c_A_b_Ab_mR(AmnssIde,b,Ab); 
        gj_PP_mR(Ab,NO);  
// Ab : You can find the equation of the plan when the eigenvalues equal 1 (EV=R1)
    put_zeroR_mR(Ab,Ab_free);
    put_freeV_mR(Ab_free); 
        gj_PP_mR(Ab_free,YES);      
       c_Ab_b_mR(Ab_free,b_free);

          c_c_mR(b_free,C2,V,EV);  
          c_c_mR(b_free,C3,V,EV+C1);
                              
    Normalize_mR(V);
           
          printf(" V%d : Copy V%d into the last file",EV,EV);
          P_mR(V,S10,P12,C10); 
           
  stop();
             
  f_mR(A);
  f_mR(EValue);
  
  f_mR(Ide);
  f_mR(sIde);
  f_mR(AmnssIde);
  
  f_mR(Ab);
  f_mR(b);
  f_mR(Ab_free);    
  f_mR(b_free);
  
  f_mR(V); 
  
  return 0;
}
/* ------------------------------------ */
/* ------------------------------------ */

Projection de l'espace sur un plan 
* Calculer un vecteur propre : 
* #define    EV    R1  pour calculer V1 et V2
* #define    EV    R3  pour calculer V3

Exemple de sortie écran :

 A :
  +0.94444   -0.14444   +0.17778 
  -0.14444   +0.62444   +0.46222 
  +0.17778   +0.46222   +0.43111 

 V1 : Copy V1 into the last file
-0.933345606203, +0.954479978035,       -nan, 
+0.358979079309, +0.000000000000,       -nan, 
+0.000000000000, +0.298274993136,       -nan  

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